The space-time torsion in the context of the exact Foldy-Wouthuysen transformation for a Dirac fermion

被引：2

作者：

Goncalves, Bruno ^{[1
]}

Ribeiro, Baltazar J. ^{[2
]}

Pereira, Dante D. ^{[3
]}

Dias, Mario M., Jr. ^{[1
]}

机构：

[1] IF Sudeste MG, Inst Fed Educ Ciencia & Tecnol Sudeste Minas Gera, BR-36080001 Juiz De Fora, MG, Brazil

[2] CEFET MG, Ctr Fed Educ Tecnol Minas Gerais, BR-37250000 Nepomuceno, MG, Brazil

[3] CEFET RJ, Ctr Fed Educ Tecnol Celso Suckow da Fonseca, BR-27600000 Valenca, RJ, Brazil

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2016年 / 31卷 / 13期

关键词：

Dirac equation; CPT-Lorentz violating terms; exact Foldy-Wouthuysen transformation; LORENTZ INVARIANCE; CPT; TESTS; EQUATION; SPIN;

D O I：

10.1142/S0217751X16500755

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

In this paper, we focus our attention in the inconsistency that appears when the semi-exact Foldy-Wouthuysen transformation for the Dirac field interacting with space-time torsion field is performed. In order to solve this problem, we present a new involution operator that makes possible to perform the exact transformation when torsion field is present. Such operator has a structure, well known in the literature, composed of the product of an operator that acts in the matrices space and another one that acts in the function space. We also present the bound state of this theory and discuss the possible experimental analysis.

引用

页数：11

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